Question

Solve the following equation. Then place the correct number in the box provided.

| 2x + 6 | < 16

< x <

Answer 1

two options :

2x + 6 >= 0 so 2x >= -6 so x >= -3 then

2x+6 < 16
2x < 10
x< 5

so x>=-3 and (intersection) x<5 gives -3<=x<5

or
2x + 6 < 0 so 2x < -6 so x < -3 then
-2x -6 < 16
-2x < 22
x > -11
so
x>-11 and (intersection) x<-3 gives -11<x<-3

so the solution is -3<=x<5 or -11<x<-3 gives
-11<x<5